Line integrals Use Green’s Theorem to evaluate the following line integrals. Assume all curves are oriented counterclockwise. A sketch is helpful. 35. ∮ C ( 2 x + e y 2 ) d x − ( 4 y 2 + e x 2 ) d x , where C is the boundary of the rectangle with vertices (0, 0) (1, 0) (1, 1) and (0, 1)
Line integrals Use Green’s Theorem to evaluate the following line integrals. Assume all curves are oriented counterclockwise. A sketch is helpful. 35. ∮ C ( 2 x + e y 2 ) d x − ( 4 y 2 + e x 2 ) d x , where C is the boundary of the rectangle with vertices (0, 0) (1, 0) (1, 1) and (0, 1)
Line integrals Use Green’s Theorem to evaluate the following line integrals. Assume all curves are oriented counterclockwise. A sketch is helpful.
35.
∮
C
(
2
x
+
e
y
2
)
d
x
−
(
4
y
2
+
e
x
2
)
d
x
, where C is the boundary of the rectangle with vertices (0, 0) (1, 0) (1, 1) and (0, 1)
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Evaluate This Integral
if curve C consists of curve C₁ which is a parabola y=x² from point (0,0) to point (2,4) and curve C₂ which is a vertical line segment from point (2,4) to point (2,6) if a and b are each constant.
Find the slope of the tangent in the positive x-direction to the surface z =
3x3 – 6xy at the point (2, 1, 12).
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Chapter 17 Solutions
Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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